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The Transition to Chaos: Conservative Classical and Quantum Systems: Fundamental Theories of Physics, cartea 200

Autor Linda Reichl
en Limba Engleză Paperback – 14 apr 2022
The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.
This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.
 

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Specificații

ISBN-13: 9783030635367
ISBN-10: 3030635368
Ilustrații: XIV, 555 p. 176 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.79 kg
Ediția:3rd ed. 2021
Editura: Springer International Publishing
Colecția Springer
Seria Fundamental Theories of Physics

Locul publicării:Cham, Switzerland

Cuprins

Overview.- Fundamental Concepts.- Classical Chaos as seen in area preserving maps.- Global properties of 2DofF.- Global properties of systems with 3 or more DoF.- Semiclassical Theory – Path Integrals.- Manifestations of chaos in scattering processes (classical and quantum).- Time periodically driven systems.- Stochastic manifestations of chaos.- Appendices: Random matrix theory, Symmetries and invariant measures.

Notă biografică

Linda E. Reichl, Ph.D., is a Professor of Physics at the University of Texas at Austin and is co-Director of the Center for Complex Quantum Systems. She has authored numerous papers on classical and quantum chaos theory and is author of the textbook “A Modern Course in Statistical Physics”, now in its fourth edition. She was elected a Fellow of the American Physical Society in 2000 for “original work in the field of quantum chaos”.
 

Textul de pe ultima copertă

The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.
This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.

Caracteristici

A thorough, comprehensive discussion of classical and quantum chaos theory with applications ranging from atomic dynamics to the structure of galaxies Specific discussions include mechanisms for the onset of classical and quantum chaos, KAM theory, classical and quantum scattering theory for chaotic systems, Arnol’d diffusion in classical and quantum systems, random matrix theory, thermalization of quantum systems, The dynamics of atomic and molecular systems in the presence of time-periodic radiation fields Text is self-contained and appendices help provide much of the needed background in mathematics

Recenzii

From the reviews of the second edition:
"This book is an expanded and updated version … from a previous edition and reviews results on the manifestation of chaos in classical and quantum mechanics. … A very wide range of topics is covered in the book, which thus can be used as preliminary reading for research areas … . The book can also be considered as a helpful companion both for mathematicians and for physicists. … Many technical details and background notions can be found in a rich complement of appendices." (Guido Gentile, Mathematical Reviews, Issue 2006 c)